Morphocompletion for #892 ⟨a, b | aaaabba=ba⟩

Solved by morph:6/1. (See Morphocompletion.)

Step 1

Checking up to 20 rules for overlaps.

Reduction order:
- Left-to-right shortlex with a < b

Rewriting system is not complete: roundsLimit

#	Rule
1.	aaaabba ⇒ ba
2.	aaaabbba ⇒ bba
3.	aaaabbbba ⇒ bbba
4.	aaaabbbbba ⇒ bbbba
5.	aaaabbbbbba ⇒ bbbbba
6.	aaaabbbbbbba ⇒ bbbbbba
7.	aaaabbbbbbbba ⇒ bbbbbbba
8.	aaaabbbbbbbbba ⇒ bbbbbbbba
9.	aaaabbbbbbbbbba ⇒ bbbbbbbbba
10.	aaaabbbbbbbbbbba ⇒ bbbbbbbbbba
11.	aaaabbbbbbbbbbbba ⇒ bbbbbbbbbbba
12.	aaaabbbbbbbbbbbbba ⇒ bbbbbbbbbbbba
13.	aaaabbbbbbbbbbbbbba ⇒ bbbbbbbbbbbbba
14.	aaaabbbbbbbbbbbbbbba ⇒ bbbbbbbbbbbbbba
15.	aaaabbbbbbbbbbbbbbbba ⇒ bbbbbbbbbbbbbbba
16.	aaaabbbbbbbbbbbbbbbbba ⇒ bbbbbbbbbbbbbbbba
17.	aaaabbbbbbbbbbbbbbbbbba ⇒ bbbbbbbbbbbbbbbbba
18.	aaaabbbbbbbbbbbbbbbbbbba ⇒ bbbbbbbbbbbbbbbbbba
19.	aaaabbbbbbbbbbbbbbbbbbbba ⇒ bbbbbbbbbbbbbbbbbbba
20.	aaaabbbbbbbbbbbbbbbbbbbbba ⇒ bbbbbbbbbbbbbbbbbbbba
	...

Collecting factors up to length 8 / frequency 7:

[2/0]	bb	210	`lf:210,rf:190,rp:19`
[2/1]	aa	80	`lf:60,lp:20`
[2/2]	ba	40	`lf:20,ls:20,rf:20,rp:1,rs:20,re:1,lsrp:1,lsrs:20`
[2/3]	ab	20	`lf:20`
[3/0]	bbb	190	`lf:190,rf:171,rp:18,a:1`
[3/1]	aaa	60	`lf:40,lp:20`
[3/2]	bba	40	`lf:20,ls:20,rf:19,rp:1,rs:19,re:1,lsrp:1,lsrs:19`
[3/3]	abb	20	`lf:20`
[3/4]	aab	20	`lf:20`
[4/0]	bbbb	171	`lf:171,rf:153,rp:17,a:2`
[4/1]	aaaa	40	`lf:20,lp:20`
[4/2]	bbba	38	`lf:19,ls:19,rf:18,rp:1,rs:18,re:1,lsrp:1,lsrs:18,a:1`
[4/3]	aabb	20	`lf:20`
[4/4]	aaab	20	`lf:20`
[4/5]	abbb	19	`lf:19,a:1`
[4/6]	abba	2	`lf:1,ls:1`
[5/0]	bbbbb	153	`lf:153,rf:136,rp:16,a:3`
[5/1]	aaaab	40	`lf:20,lp:20`
[5/2]	bbbba	36	`lf:18,ls:18,rf:17,rp:1,rs:17,re:1,lsrp:1,lsrs:17,a:2`
[5/3]	aaabb	20	`lf:20`
[5/4]	aabbb	19	`lf:19,a:1`
[5/5]	abbbb	18	`lf:18,a:2`
[5/6]	abbba	2	`lf:1,ls:1,a:1`
[6/0]	bbbbbb	136	`lf:136,rf:120,rp:15,a:4`
[6/1]	aaaabb	40	`lf:20,lp:20`
[6/2]	bbbbba	34	`lf:17,ls:17,rf:16,rp:1,rs:16,re:1,lsrp:1,lsrs:16,a:3`
[6/3]	aaabbb	19	`lf:19,a:1`
[6/4]	aabbbb	18	`lf:18,a:2`
[6/5]	abbbbb	17	`lf:17,a:3`
[6/6]	abbbba	2	`lf:1,ls:1,a:2`
[7/0]	bbbbbbb	120	`lf:120,rf:105,rp:14,a:5`
[7/1]	aaaabbb	38	`lf:19,lp:19,a:1`
[7/2]	bbbbbba	32	`lf:16,ls:16,rf:15,rp:1,rs:15,re:1,lsrp:1,lsrs:15,a:4`
[7/3]	aaabbbb	18	`lf:18,a:2`
[7/4]	aabbbbb	17	`lf:17,a:3`
[7/5]	abbbbbb	16	`lf:16,a:4`
[7/6]	abbbbba	2	`lf:1,ls:1,a:3`

Considering [length 6 / frequency 1] aaaabb=c.

Step 2

Auxiliary generators:
1. c = aaaabb
Reduction order:
- Left-to-right shortlex with a < c < b

Rewriting system is complete. See ⟨a, b | aaaabba=ba⟩.